91.4k views
3 votes
PLEASE ANSWER ASAP
If the measure of UV is 84°, what is the measure of YUV? (SEE PICTURE)

PLEASE ANSWER ASAP If the measure of UV is 84°, what is the measure of YUV? (SEE PICTURE-example-1
User LightGuard
by
8.1k points

2 Answers

5 votes
i just took the test, its a
User Kyle Burton
by
8.2k points
5 votes

Answer:

Option A. 42°

Explanation:

It is given in the question line segment XY is tangent to the circle Z at point U.

The measure of arc UV = 84° and we have to find the value of ∠YUV.

From tangent and chord theorem we know that measurement of the angle between tangent and chord is half of the measurement of the intercepted arc.

Therefore ∠YUV = (84°) ÷ 2 = 42°

Answer is Option A.42°

User MazBeye
by
8.7k points

Related questions

2 answers
3 votes
156k views
1 answer
3 votes
13.3k views